Non-standard analysis was introduced in the early 1960s by the mathematician Abraham Robinson.

* Non-standard analysis, which investigates the hyperreal numbers and their functions and gives a rigorous treatment of infinitesimals and infinitely large numbers.

* Non-standard analysis

Category: Non-standard analysis

# REDIRECT Non-standard analysis

# REDIRECT Non-standard analysis

Category: Non-standard analysis

* Non-standard analysis

* Non-standard analysis, in mathematics

Category: Non-standard analysis

Category: Non-standard analysis

Non-standard amino acids that are found in proteins are formed by post-translational modification, which is modification after translation during protein synthesis.

His classic foundational book on the subject Non-standard Analysis was published in 1966 and is still in print.

Guilford Courthouse flag | Non-standard American flag believed to have been carried in battle, although its validity is questioned.

* Non-standard numbers are elusive: each one is too enormous to be manageable in decimal notation or any other representation, explicit or implicit, no matter how ingenious your notation.

Non-standard hands usually appear in games using wild cards or bugs.

* Non-standard calculus, an approach to infinitesimal calculus using Robinson's infinitesimals

In 1966, Abraham Robinson introduced Non-standard Analysis, which provided a rigorous foundation for working with infinitely small quantities.

Non-standard nucleosides are also found in both RNA and DNA and usually arise from modification of the standard nucleosides within the DNA molecule or the primary ( initial ) RNA transcript.

Non-standard theories developed either by starting from different assumptions or by contradicting the features predicted by the Big Bang.

Non-standard cosmologies can be grouped according to the assumptions or the features of the big bang universe which they contradict.

Non-standard egress systems include Downward Track ( used for some crew positions in bomber aircraft, including the B-52 Stratofortress ), Canopy Destruct ( CD ) and Through-Canopy Penetration ( TCP ), Drag Extraction, Encapsulated Seat, and even Crew Capsule.

Non-standard optical disc ( OD ) formats are sometimes unofficially referred to as Black Book formats.

Non-standard interpretations of quantum mechanics also vary in their response to the EPR-type experiments.

Non-standard inflections are also common in colloquial Brazilian Portuguese.

Non-standard inflections are also common in colloquial Brazilian Portuguese.

Non-standard products are traded in the so-called over-the-counter ( OTC ) derivatives markets.

Non-standard word orders are also found in poetry in English, particularly archaic or romantic terms – as the wedding phrase " With this ring, I thee wed " ( SOV ) or " Thee I love " ( OSV ) – as well as in many other languages.

* Non-standard numbers are precisely those that cannot be uniquely specified ( due to limitations of time and space ) by an internal formula.

* Non-standard numbers are completely ordinary numbers, having decimal representations, prime factorizations, etc.

Non-standard poker hands are hands which are not recognized by official poker rules but are created by house rules.

* Non-standard instrumentation-Some bands include string or electronic sections to offer membership to musicians who would otherwise be excluded from participation in a marching band.

Non-standard courses range from video production to architecture to automobile repair and even biodiesel production.

Non-standard, unregistered, service extensions can be used by bilateral agreement, these services are indicated by an EHLO message keyword starting with " X ", and with any additional parameters or verbs similarly marked.

I knew that a conversation with the author would not settle such questions, because a man is not the same as his writing: in the last analysis, the questions had to be settled by the work itself.

Let me quote him even more fully, for his analysis is important to my theme.

It is a weakness of Gabriel's analysis that he never seems to realize that his so-called fundamental law had already been cut loose from its foundations when it was adapted to democracy.

Trevelyan accepts Italian nationalism with little analysis, he is unduly critical of papal and French policy, and he is more than generous in assessing British policy.

The research center of the University's School of Business and Public Administration is prepared to undertake the analysis Dr. Ellis has been talking about.

An analysis of the fiscal tax collection year calendars throughout the state indicates that transition may not be as painful as is commonly thought.

Another important source of evidence only recently receiving much attention is the analysis of atmospheric dust for a meteoritic component.

In the last analysis, religion is the means of inducing, formulating, expressing, enhancing, implementing, and perpetuating man's deepest experience -- the religious.

but the subsequent analysis of characteristics is reported only for the de jure population ( or, in some districts, only the de facto population ).

The criterion score used in the statistical analysis is an index of over- or under-achievement.

Tables 1 and 2 present the results of the statistical analysis of the data when compulsivity is used as the descriptive variable.

Finally, information is retrieved from the dictionary as required by stages of the translation process -- the grammatical description for sentence-structure determination, equivalent-choice information for semantic analysis, and target-language equivalents for output construction.

The first stage of translation after glossary lookup is structural analysis of the input text.

From the point of view of syntactic analysis the head word in the statement is the predicator has broken, and from the point of view of meaning it would seem that the trouble centers in the breaking ; ;

Tone analysis will continue to be difficult and unsatisfactory until a more representative selection of systems is familar to every practicing field linguist.

The great majority of present-day linguists fall into one or more of a number of overlapping types: those who are convinced that tone cannot be analysed, those who are personally scared of tone and tone languages generally, those who are convinced that tone is merely an unnecessary marginal feature in those languages where it occurs, those who have no idea how to proceed with tone analysis, those who take a simplistic view of the whole matter.

One issue that must be faced is the relative difficulty of analysis of different phonologic subsystems.

A third explanation is suggested by Richardson's analysis of Sukuma tone.

The difficulty of analysis of any subsystem in the phonology is an inverse function of the size -- smaller systems are more troublesome -- for any given degree of morphophonemic complexity.

The treatment seems unnecessarily loose-jointed and complex, largely because the method is lax and the analysis seems never to be pushed to a satisfactory or even a consistent stopping-point.

Mr. Alexander H. Wheelan's Study Helps In Point And Figure Technique tells the readers: `` We assure you that the total number of people using this method of market analysis is a very small portion of the sum total of those operating in the securities and commodities markets ''.

The threadbare notion that belief, unlike behaviour, is not subject to objective analysis, has placed intuitive metaphysics squarely against the sociology of knowledge, since it is precisely the job of the sociology of knowledge to treat beliefs as social facts no less viable than social behaviour.

It is rather that introducing them into social analysis reflects not so much a search for truth as for certainty.